This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters
I’m not sure what this answer is I will comment when I find it
Answer:
Step-by-step explanation:
A∩B = {2, 4}
Step-by-step explanation:
- Step 1: Given A = {1, 2, 4} and B = {2, 4, 6, 8, 10}
- Step 2: To find A∩B, find the number of common elements in both the sets.
⇒ A∩B = {2, 4}
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following information :
Number of oranges Ramona needs to harvest in other to cover the cost of running the orange Grove = 2616
Average number of oranges each tree bears = 62
Oranges needed for charity donation = 360
Number of orange trees needed in the Grove :
Total number of oranges needed :
(Charity + running the Grove)
(360 + 2616) = 2976 oranges
Number of trees needed = total number of oranges needed / average number of oranges beared per tree
Number of trees needed = 2976 / 62
= 48 trees
Number of trees needed ≥ 48